I assume you meant
w/g = R^2/(R^2 + A^2)
R^2 + A^2 = R^2 * g/w
A^2 = R^2 (g/w - 1)
so A is the square root of that
Now plug in your numbers to find the desired A
The pythagorean theorem of baseball is a formula for approximating a team's ratio of wins to games played. let R be the number of runs the team scores during the season, A be the number of run allowed to opponents, W be the # of wins, G be the total of games played. Then the formula W/G≈ R^2/R^2 + A^2 approximates the teams' ratio of wins to games played.
A. solve the formula for A in terms of w, g, and R
b. if the yankees scored 965 runs and won 111 of its 162 played games, approximately (to the nearest whole number) how many runs did the team allow their opponent to score?
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